Applying the Network Simulation Method for testing chaos in a resistively and capacitively shunted Josephson junction model
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AuthorGimeno Bellver, Fernando José; Caravaca Garratón, Manuel; Soto Meca, Antonio; Vera López, Juan Antonio; García Guirao, Juan Luis; [et al.]
Knowledge AreaCiencia de los Materiales e Ingeniería Metalúrgica
SponsorsThe last three authors would like to thank Research Projects MTM2014-51891-P from Spanish Ministry of Economy and Competitiveness and 19219/PI/14 from Fundación Séneca de la Región de Murcia for their partially support. The authors would like to express their gratitude to anonymous reviewer whose insightful comments and suggestions have allowed us to enhance the quality of this paper.
Network Simulation Method
Fast Fourier Transform
In this paper, we explore the chaotic behavior of resistively and capacitively shunted Josephson junctions via the so-called Network Simulation Method. Such a numerical approach establishes a formal equivalence among physical transport processes and electrical networks, and hence, it can be applied to efficiently deal with a wide range of differential systems. The generality underlying that electrical equivalence allows to apply the circuit theory to several scientific and technological problems. In this work, the Fast Fourier Transform has been applied for chaos detection purposes and the calculations have been carried out in PSpice, an electrical circuit software. Overall, it holds that such a numerical approach leads to quickly computationally solve Josephson differential models. An empirical application regarding the study of the Josephson model completes the paper.
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